Dispersion of solutes in porous media

European Physical Journal B

Volumn 80, Issue 4, 2011, Pages 411-432

  Hunt, A G ^a   Skinner, T E ^a   Ewing, R P ^b   Ghanbarian Alavijeh, B ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AMOUNT OF INFORMATION; ARRIVAL-TIME DISTRIBUTIONS; CLUSTER STATISTICS; COMPARISON WITH EXPERIMENTS; DISPERSION OF SOLUTES; DISPERSIVITY; FIRST MOMENTS; LENGTH SCALE; MEDIUM HETEROGENEITY; MULTISCALES; ORDERS OF MAGNITUDE; PERCOLATION CLUSTERS; PERCOLATION THEORY; POROUS MEDIA; SOLUTE DISTRIBUTION; TRANSPORT IN POROUS MEDIA; TRAVEL DISTANCE; TYPICAL VALUES;

ADVECTION; CRITICAL PATH ANALYSIS; DISPERSIONS; EXPERIMENTS; POROUS MATERIALS; REGRESSION ANALYSIS; SOLVENTS;

SOLUTE TRANSPORT;

EID: 79955799620     PISSN: 14346028     EISSN: 14346036     Source Type: Journal    
DOI: 10.1140/epjb/e2011-10805-y     Document Type: Article

References (149)

1. J. Bear, Dynamics of Fluids in Porous Media (American Elsevier Publishing Co. Inc., New York, 1972)
2. M. Sahimi A.O. Imdakm 1988 J. Phys. A 21 3833 1988JPhA...21.3833S 0653.76064
3. M. Sahimi A.O. Imdakm 1988 Phys. Rev. Lett. 66 1169 1991PhRvL..66.1169S
4. B. Berkowitz H. Scher 1995 Water Resour. Res. 31 161
5. M. Hunter P. Callaghan 2007 Phys. Rev. Lett. 99 210602 2007PhRvL..99u0602H
6. F.A.L. Dullien, Porous Media: Fluid Transport and Pore Structure (Academic Press, San Diego, CA, 1992)
7. N. Martys 1995 J. Chromatogr. A 707 35
8. D. Dan C. Mueller K. Chen J. Glazier 2005 Phys. Rev. E 72 041909 2005PhRvE..72d1909D
9. G. Gibson C. Gilligan A. Kleczkowski 1999 Proc. R. Soc. Lond. B Biol. Sci. 266 1743
10. J.T. Truscott C.A. Gilligan 2003 Proc. Natl. Acad. Sci. USA 100 9067 2003PNAS..100.9067T
11. S. Karimian A. Straatman 2009 J. Heat Transfer 131 052602
12. M. Agop P. Nica P. Ioannou A. Antici V. Paun 2008 Eur. Phys. J. D 49 239 2008EPJD...49..239A
13. S.P. Neuman 1990 Water Resour. Res. 26 1749 1990WRR....26.1749N 1188274
14. B. Berkowitz H. Scher S.E. Silliman 2000 Water Resour. Res. 36 149 2000WRR....36..149B
15. G. Margolin B. Berkowitz 2000 J. Phys. Chem. B 104 3942
16. A. Cortis B. Berkowitz 2004 Soil. Sci. Soc. Am. J. 68 1539
17. M. Levy B. Berkowitz 2003 J. Contam. Hydrol. 64 203
18. A. Arya T.A. Hewett R.G. Larson L.W. Lake 1988 SPE Reserv. Eng. 3 139
19. L.W. Gelhar C. Welty K.R. Rehfeldt 1992 Water Resour. Res. 28 1955 1992WRR....28.1955G
20. T. Baumann L. Toops R. Niessner 2010 Water Res. 44 1246
21. W.A. Jury, Solute transport and dispersion, in Flow and transport in the natural environment: advances and applications, edited by W.L. Steffen, O.T. Denmead (Springer Verlag, Berlin, 1988), pp. 1-16
22. L. Zhou H.M. Selim 2003 Advances in Agronomy 80 223
23. T.R. Ellsworth P.J. Shouse T.H. Scaggs J.A. Jobes J. Fargerlund 1996 Soil Sci. Soc. Am. J. 60 397
24. Y. Pachepsky D. Benson W. Rawls 2000 Soil Sci. Soc. Am. J. 64 1234
25. A.E. Scheidegger, An evaluation of the accuracy of the diffusivity equation for describing miscible displacement in porous media, in Proc. Theory of Fluid Flow in Porous Media Conf. (Univ Oklahoma, 1959), pp. 101-116
26. M.M. Meerschaert J. Mortensen S.W. Wheatcraft 2006 Physica A 367 181 2006PhyA..367..181M
27. R. Sanchez B.A. Carreras B.P. van Milligen 2005 Phys. Rev. E 71 011111 2005PhRvE..71a1111S 2139310
28. N. Krepysheva L. Di Pietro M.C. Neel 2006 Phys. Rev. E 73 021104 2006PhRvE..73b1104K 2224791
29. A. Zoia A. Rosso M. Kardar 2007 Phys. Rev. E 76 021116 2007PhRvE..76b1116Z 2365531
30. X.X. Zhang 2005 Water Resour. Res. 41 W07029
31. Y. Zhang 2007 Water Resour. Res. 43 W05439
32. M.V. Kohlbecker S.W. Wheatcraft M.M. Meerschaert 2006 Water Resour. Res. 42 W04411
33. G. Huang Q. Huang H. Zhan 2006 J. Contam. Hydrol. 85 53 2006JCHyd..85...53H
34. K. Kilse V.C. Tidwell S.A. McKenna 2008 Adv. Water Res. 31 1731
35. C. Knudby 2005 Adv. Water Res. 28 405 10.1016/jadwatres.2004.09.011
36. M. Willman J. Carreras X. Sanchez-Villa 2008 Water Resour. Res. 44 W12437 2008WRR....4412437W
37. E. LaBolle G. Fogge 2001 Water Resour. Res. 37 83
38. A. Western G. Bloeschl R. Grayson 2001 Transp. Porous Media 42 155
39. M. Sahimi, Applications of Percolation Theory (Taylor & Francis, London, 1994)
40. A.G. Hunt, R.P. Ewing, Percolation theory for flow in porous media, Lecture Notes in Physics, 2nd edn. (Springer, Berlin, 2009)
41. A.G. Hunt 2009 Complexity 15 13 2567744
42. A.G. Hunt T.E. Skinner 2008 Phil. Mag. 88 2921 2008PMag...88.2921H
43. A.G. Hunt T.E. Skinner 2010 J. Stat. Phys. 140 544 2010JSP...140..544H 2660341 1197.82064
44. A.G. Hunt, T.E. Skinner, Complexity (2010), doi: 10.1002/cplx.20322
45. L.W. Gelhar 1986 Water Resour. Res. 22 1358
46. Subsurface Flow and Transport: A Stochastic Approach, edited by G. Dagan, S.P. Neuman (Cambridge University Press, Cambridge, UK, 1997)
47. C.L. Winter D.M. Tartakovsky A. Guadagnini 2003 Surveys Geophys. 24 81 2003SGeo...24...81W
48. C. Miller G. Christakos P. Imhoff J. McBride J. Pedit J. Trangenstein 1998 Adv. Water Res. 21 77
49. J. Douglas F. Pereira L. Yeh 2000 Comput. Geosci. 4 1 1774062 0969.76069
50. B. Riviere M. Wheeler 2002 Communi. Numer. Methods Eng. 18 63 0996.76056
51. M. Wheeler M. Peszynska 2002 Adv. Water Res. 25 1147
52. M. Farthing C. Kees T. Russell C. Miller 2006 Adv. Water Res. 29 657
53. N.G. Van Kampen 1974 Physica 74 215 1974Phy....74..215V 413261
54. G. Sposito D.A. Barry Z.J. Kabala 1991 Advances Porous Media 1 295
55. Z.J. Kabala A. Hunt 1993 Stochastic Hydrology and Hydraulics 7 255 1993SHH.....7..255K 0789.76084
56. S. Kirkpatrick 1973 Rev. Mod. Phys. 45 574 1973RvMP...45..574K
57. A.G. Hunt, Percolation theory for flow in porous media, Lecture Notes in Physics (Springer, Berlin, 2005)
58. A. Miller E. Abrahams 1960 Phys. Rev. 120 745 1960PhRv..120..745M 0093.22403
59. D. Stauffer, A. Aharony, Introduction to Percolation Theory, 2nd edn. (Taylor & Francis, London)
60. A.P. Sheppard M.A. Knackstedt W.V. Pinczewski M. Sahimi 1999 J. Phys. A 32 L521 1999JPhA...32L.521S 1732607 0955.82020
61. D. Stauffer 1979 Phys. Rep. 54 1 1979PhR....54....1S
62. V.N. Ambegaokar B.I. Halperin J.S. Langer 1971 Phys. Rev. B 4 2612 1971PhRvB...4.2612A
63. M. Pollak 1972 J. Non-Cryst. Solids 11 1 1972JNCS...11....1P
64. E.W. Montroll H. Scher 1973 J. Stat. Phys. 9 101 1973JSP.....9..101M
65. J. Klafter R. Silbey 1980 Phys. Rev. Lett. 44 55 1980PhRvL..44...55K
66. B. Bijeljic M.J. Blunt 2006 Water Resour. Res. 42 W01202
67. H. Scher E.W. Montroll 1975 Phys. Rev. B 12 2455 1975PhRvB..12.2455S
68. M. Sahimi 1993 Rev. Mod. Phys. 65 1393 1993RvMP...65.1393S
69. M. Sahimi H. Davis L. Scriven 1983 Chem. Eng. Commun. 23 329
70. H. Pfannkuch 1963 Rev. Inst. Fr. Pét. 2 L529
71. C.H. Seager G.E. Pike 1974 Phys. Rev. B 10 1435 1974PhRvB..10.1435S
72. Y. Bernabe C. Bruderer 1998 J. Geophys. Res. 103 513 1998JGR...103..513B
73. C.B. Shah Y.C. Yortsos 1996 Phys. Fluids 8 280 1996PhFl....8..280S 1367067 1023.76587
74. G. Dagan 1987 Rev. Fluid Mech. 19 183 1987AnRFM..19..183D 0687.76091
75. A.G. Hunt 2001 Adv. Water Res. 24 279
76. M. Rieu G. Sposito 1991 Soil Sci. Soc. Am. J. 55 1231
77. A.G. Hunt, T.E. Skinner, Hydrogeol. J. (2009) doi: 10.1007/s10040-009- 0499-y
78. E.E. Miller R.W. Miller 1956 J. Appl. Phys. 27 324 1956JAP....27..324M
79. P. Moldrup T. Oleson T. Komatsu P. Schjoning D.E. Rolston 2001 Soil Sci. Soc. Am. J. 65 613
80. A.G. Hunt R.P. Ewing 2003 Soil Sci. Soc. Am. J. 67 1701
81. A. Hunt 1991 Solid State Commun. 80 151 1991SSCom..80..151H
82. B. Berkowitz I. Balberg 1993 Water Resour. Res. 29 775 1993WRR....29..775B
83. B.B. Mandelbrot, The Fractal Geometry of Nature (Freeman, 1982)
84. H.J. Herrmann H.E. Stanley 1988 J. Phys. A 21 L829 1988JPhA...21L.829H 960409
85. Y. Lee J.S. Andrade S.V. Buldyrev N.V. Dokholoyan S. Havlin P.R. King G. Paul H.E. Stanley 1999 Phys. Rev. E 60 3425 1999PhRvE..60.3425L
86. I. Balberg 1987 Philos. Mag. B 30 991
87. A.G. Hunt 2005 Philos. Mag. 85 3409 2005PMag...85.3409H
88. K. Mallory 1993 Phys. Rev. B 47 7819 1993PhRvB..47.7819M
89. H. Scher R. Zallen 1970 J. Chem. Phys. 53 3759 1970JChPh..53.3759S
90. D. Wilkinson J. Willemsen 1983 J. Phys. A 16 3365 1983JPhA...16.3365W 725616
91. A.M. Shapiro 2001 Water Resour. Res. 37 507 10.1029/2000WR900301 2001WRR....37..507S (Pubitemid 32526055)
92. M.W. Becker A.M. Shapiro 2000 Water Resour. Res. 36 1677 2000WRR....36.1677B
93. M.W. Becker A.M. Shapiro 2003 Water Resour. Res. 39 1024 2003WRR....39.1024B
94. Z.-F. Liu X.-H. Wang P. Mao Q.-S. Wu 2003 Chin. Phys. Lett. 20 1969 2003ChPhL..20.1969L
95. Q. Zhou H.-H. Liu F.J. Molz Y. Zhang G.S. Bodvarsson 2007 J. Contam. Hydrol. 93 161 2007JCHyd..93..161Z
96. L. Neretnieks 1980 J. Geophys. Res. 85 4379 1980JGR....85.4379N
97. Q. Zhou H.H. Liu G.S. Bodvarsson C.M. Oldenburg 2003 J. Contam. Hydrol. 60 1
98. P. Maloszewski A. Zuber 1985 J. Hydrol. 79 333
99. P. Maloszewski A. Zuber 1990 Water Resour. Res. 26 1517 1990WRR....26.1517M
100. P. Maloszewski A. Zuber 1993 Water Resour. Res. 29 2723 1993WRR....29.2723M
101. A.F. Moench 1995 Water Resour. Res. 31 1823 1995WRR....31.1823M
102. P. Reimus G. Pohll T. Mihevec J. Chapman M. Haga B. Lyles S. Kosinski R. Niswonger P. Sanders 2003 Water Resour. Res. 39 1356 10.1029/2002WR001597
103. C.A. Aggelopoulos C.D. Tsakiroglou 2007 Water Air Soil Pollut. 185 223
104. J.C. Seaman P.M. Bertsch M. Wilson J. Singer F. Majs S.A. Aburime 2007 Vadose Zone J. 6 373
105. J. Vanderborght H. Vereecken 2007 Vadose Zone J. 6 29
106. R. Haggerty, C.F. Harvey, C. Freiherr von Schwerin, L.C. Meigs, Water Resour. Res. 40 (2004), doi: 10.1029/2002WR001716
107. R. Haggerty, Matrix diffusion: Heavy-tailed residence time distributions and their influence on radionuclide retention, in Radionuclide Retention in Geologic Media, Workshop Proceedings (Oskarshamn, Sweden, 2001), Radioactive Waste Management GEOTRAP Project, Organisation for Economic Cooperation and Development (2002), pp. 81-90
108. S.P. Neuman V. Di Federico 2003 Rev. Geophys. 41 1014 2003RvGeo..41.1014N
109. C. Danquigny P. Ackerer J.P. Carlier 2004 J. Hydrol. 294 196 2004JHyd..294..196D
110. S.P.K. Sternberg J.H. Cushman R.A. Greenkorn 1996 Transp. Porous Media 23 135
111. D.-J. Kim J.-S. Kim S.-T. Yun S.-H. Lee 2002 Hydrol. Process. 16 1955 10.1002/hyp.395 2002HyPr...16.1955K (Pubitemid 34825059)
112. H. Chao H. Rajaram T. Illangasekare 2000 Water Resour. Res. 36 2869 2000WRR....36.2869C
113. T. Baumann S. Müller R. Niessner 2002 Water Res. 36 1213
114. D. Schulze-Makuch 2005 Ground Water 43 443
115. S.P. Neuman, Ground Water 44, 139, and author's reply 140 (2006)
116. M.Y. Corapcioglu P. Fedirchuk 1999 J. Contam. Hydrol. 36 209
117. W.E. Huang S.E. Oswald D.N. Lerner C.C. Smith C. Yheng 2003 Environ. Sci. Technol. 37 1905
118. M. Xu Y. Eckstein 1995 Ground Water 33 905
119. H. Makse J.S. Andrade H.E. Stanley 2000 Phys. Rev. E 61 583 2000PhRvE..61..583M
120. D. Stauffer D. Sornette 1998 Physica A 252 271
121. P. Rigord A. Calvo J. Hulin 1990 A Fluid Dyn. 2 681 1990PhFl....2..681R
122. G.A. Gist A.H. Thompson A.J. Katz R.L. Higgins 1990 Phys. Fluids A 2 1533 1990PhFl....2.1533G
123. J. Koplik S. Redner D. Wilkinson 1988 Phys. Rev. A 37 2619 1988PhRvA..37.2619K 935924
124. V. Gupta R. Bhattacharya 1984 Adv. Appl. Probab. 16 18
125. V. Gupta R. Bhattacharya 1983 Water Resour. Res. 19 945 1983WRR....19..945G
126. B. Bijeljic M.J. Blunt 2006 Water Resour. Res. 42 W01202
127. B. Bijeljic A. Muggeridge M. Blunt 2004 Water Resour. Res. 40 W11501 2004WRR....4011501B
128. D. Yu K. Jackson T. Harmon 1999 Chem. Eng. Sci. 54 357
129. H. Scher M.F. Shlesinger J.T. Bendler 1991 Phys. Today 44 26 1991PhT....44A..26S
130. G. Pfister C.H. Griffiths 1978 Phys. Rev. Lett. 40 659 1978PhRvL..40..659P
131. G. Pfister 1974 Phys. Rev. Lett. 35 1474 1974PhRvL..33.1474P
132. T. Tiedje, in Semiconductors and Semimetals, edited by J. Pankove (Academic, New York, 1984), Vol. 21C, p. 207
133. G. Pfister 1976 Phys. Rev. Lett. 36 271 1976PhRvL..36..271P
134. F.C. Bos T. Guion D.M. Burland 1989 Phys. Rev. B 39 12633 1989PhRvB..3912633B
135. G. Pfister H. Scher 1977 Phys. Rev. B 15 2062 1977PhRvB..15.2062P
136. R. Metzler J. Klafter 2000 Phys. Rep. 339 1 2000PhR...339....1M 1809268 0984.82032
137. M. Marseguerra A. Zoia 2008 Math. Comput. Simul. 77 345 2402611 1138.65003
138. B. Berkowitz, A. Cortis, M. Dentz, H. Scher, Rev. Geophys. 44 (2006), doi: 10.1029/2005RG000178 (Pubitemid 46044201)
139. S. Redner S. Datta 2000 Phys. Rev. Lett. 84 6018 2000PhRvL..84.6018R
140. A.D. Araujo J.S. Andrade H.J. Herrmann 2006 Phys. Rev. Lett. 97 138001 2006PhRvL..97m8001A
141. E.A. Sudicky 1986 Water Resour. Res. 22 725
142. E.A. Sudicky J.A. Cherry E.O. Frind 1983 J. Hydrol. 63 81
143. D.M. Mackay D.L. Freyberg P.B. Roberts J.A. Cherry 1986 Water Resour. Res. 22 2017 1986WRR....22.2017M
144. P.V. Roberts M.N. Goltz D.M. Mackay 1986 Water Resour. Res. 22 2047 1986WRR....22.2047R
145. C. Rivard F. Delay 2004 Hydrogeol. J. 12 613 2004HydJ...12..613R
146. M. Javaux M. Vanclooster 2003 Soil Sci. Soc. Am. J. 67 1334
147. C.W. Rovey W.L. Niemann 2005 Ground Water 43 52
148. R. Ramanathan R.W. Ritzi C.C. Huang 2008 Water Resour. Res. 44 W04503 10.1029/2007WR006282 (Pubitemid 351748466)
149. R. Ramanathan R.W. Ritzi R.M. Allen-King 2009 Water Resour. Res. 46 W01510